Alevel logs simultaneous equation

[dapper dagger]

,rotate

[dapper dagger]

what did u do in the 2nd line

it dont look right

[olive osprey]

log laws

[plucky spindle]

You substituted to early(you can but it’s longer)

Log4(a)+log4(b)=3

Raise everything by using the base as 4

ab=64

There’s your second equation

[dapper dagger]

rewrite 2 as log 4 ab = 3
ab = 4^3
a = b + 8
b(b+8) = 4^3
b^2 + 8b = 64

[olive osprey]

3 ^4 is 81 not 64

[plucky spindle]

My bad

[olive osprey]

this is what ive done

[dapper dagger]

oh wait its fine

its just the b^2 + 8b = 4^3 part

u dont need to divide by 8

take the 4^3 to the other side and solve for b

[olive osprey]

so b is -4+4root5

?

[plucky spindle]

It works is b is -4+4root5 then a=4+4root5

[olive osprey]

ok thanks guys

[vocal niche]

Apply log laws to simplify seocond equation

Oh u done it

Well done